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Finding the Fourth Proportional to 24,105.46, 36,158.46 and 8,512.15

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Solution

The fourth proportional to 24,105.46, 36,158.46 and 8,512.15 is: 12,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.46 : 36,158.46 = 8,512.15 : x
  2. Step 2: Convert to fraction form
    24,105.46/36,158.46 = 8,512.15/x
  3. Step 3: Cross multiply
    24,105.46x = 36,158.46 × 8,512.15
  4. Step 4: Simplify right side
    24,105.46x = 307,786,235.29
  5. Step 5: Solve for x
    x = 307,786,235.29/24,105.46
  6. Step 6: Final answer
    x = 12,768.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.